ode1 is Lane emden equation that can be solved analytically for n=0,1,5 .
For other values of n it needs to be solved numerically.
My question is how to proceed and use the numeric result in ode2 with bcs mentioned and get same or close result to analytical one. I am trying to verify alpha. In the worksheet i have chosen n=1 because i want to learn how to deal with numeric solution for which i already have the answer to verify. If ode2 also needs to to solved numeric its ok. The point is to get at the derivative value from various alpha values for different n like 3. Please help and let me know if additional info is needed.